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10320103332 = 223271131111971
BaseRepresentation
bin10011001110010000…
…00100011110100100
3222122020002120100100
421213020010132210
5132113421301312
64424015344100
7513512300550
oct114710043644
928566076310
1010320103332
11441647a420
122000222030
13c86106726
146dc88a860
1540603d5dc
hex2672047a4

10320103332 has 144 divisors (see below), whose sum is σ = 32631266304. Its totient is φ = 2671704000.

The previous prime is 10320103319. The next prime is 10320103369. The reversal of 10320103332 is 23330102301.

10320103332 is a `hidden beast` number, since 1 + 0 + 320 + 10 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856107 + ... + 868077.

It is an arithmetic number, because the mean of its divisors is an integer number (226606016).

Almost surely, 210320103332 is an apocalyptic number.

10320103332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315633152).

10320103332 is an abundant number, since it is smaller than the sum of its proper divisors (22311162972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10320103332 is a wasteful number, since it uses less digits than its factorization.

10320103332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12310 (or 12305 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10320103332 its reverse (23330102301), we get a palindrome (33650205633).

The spelling of 10320103332 in words is "ten billion, three hundred twenty million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 311 396 462 622 693 924 933 1244 1386 1866 2177 2772 2799 3421 3732 4354 5598 6531 6842 8708 10263 11196 11971 13062 13684 19593 20526 23942 23947 26124 30789 35913 39186 41052 47884 47894 61578 71826 71841 78372 83797 95788 107739 123156 131681 143652 143682 167594 215478 215523 251391 263362 287364 335188 395043 430956 431046 502782 526724 754173 790086 862092 921767 1005564 1185129 1508346 1580172 1843534 2370258 2765301 3016692 3687068 3722981 4740516 5530602 7445962 8295903 11061204 11168943 14891924 16591806 22337886 26060867 33183612 33506829 40952791 44675772 52121734 67013658 78182601 81905582 104243468 122858373 134027316 156365202 163811164 234547803 245716746 286669537 312730404 368575119 469095606 491433492 573339074 737150238 860008611 938191212 1146678148 1474300476 1720017222 2580025833 3440034444 5160051666 10320103332